I know this has ended - for future reference, there are two different partial sets of attachments here. #1 has both the hemmer and the attachment foot. There are a few other hemmers and the binder right in front that would go with the attachment foot. The larger pieces in the upper left also go with that "set". I have this set with the back clamp, and this is the first one I've seen for the side clamp. I'd estimate it's from 1900-1920.
then there is the second group - that has the much heavier looking attachment part - and it is part of the foot not a separate piece. These would go with the box. I'd assume the tucker and ruffle belong to the second set, but not sure on that one.
I am sorry I did not post earlier - however I've been "watching" this set since it was listed as I have been after a SINGER marked box - and they never go cheap! I expected I'd have to pay near $50 to get it, as this one is in nice shape and comes with the second set of attachments along with those that would have come in the box.
I'll post pictures of that #2 foot when I get it - and then we can hopefully figure out exactly what it is!